Necessary and Sufficient Conditions for Full Diversity Order in Correlated Rayleigh Fading Beamforming and Combining Systems


David J. Love and Robert W. Heath Jr


IEEE Trans. on Wireless Comm. vol. 4, no. 1, pp. 20-23, Jan. 2005.


Transmit beamforming and receive combining are  low complexity techniques that make use of the spatial diversity advantage provided by transmitters and/or receivers employing multiple antennas.  There has been a growing interest in designing beamforming schemes based on limited downlink channel knowledge at the transmitter. These techniques often use a set of beamforming vectors where the probability of error expression can not be easily formulated or bounded.  It is of utmost importance to guarantee that the sets of beamforming and combining vectors are chosen such that full diversity order is achieved. For this reason, necessary and sufficient conditions on the sets of possible beamformers and combiners are derived that guarantee full diversity order in correlated Rayleigh fading.


Diversity methods, MIMO systems, Rayleigh channels, Beamforming, Combining, Correlated Fading.

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